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The man in Fig. weighs 180 lb; the platform and attached frictionless pulley weigh a total of 43 lb. Ignore the weight of the rope. With what force must the man pull up on the rope in order to lift himself and the platform upward at 1.2 ft/s 2 ?

The man in Fig. weighs 180 lb; the platform and attached frictionless pulley weigh a total of 43 lb. Ignore the
weight of the rope. With what force must the man pull up on the rope in order to lift himself and the platform upward at 1.2 ft/s2?

Grade:10

1 Answers

Jitender Pal
askIITians Faculty 365 Points
6 years ago
The combined weight of the system is the sum of the weight of the man and the weight of the platform, that is
W2 = W1 +weight of platform
235-67_1.PNG
Therefore, the combined weight of the man-platform system is 223 lb.
The combined mass of the man-platform system is,
235-1525_1.PNG
Here g is the magnitude of acceleration due to gravity.
235-824_1.PNG
Therefore the combined mass of the man-platform system is 100.9 kg.
235-1809_1.PNG
Therefore, the force exerted by the man to lift the platform is 1,027 N .

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